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By the method used in the proof of Theorem 1 we can easily construct equations possessing a quickly oscillatory solution.
As an example of the applications, the solutions of the fPDEs are derived and used to construct equations of infiltration.
This is done by utilizing modified forms of the generalized transport equations to construct equations that can be used to remove model error from conventionally determined relative permeability curves, and to calculate the amount of model error introduced by failing to account properly for interfacial coupling.
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Choose the related all-pass filter design constraints {(ω m,θ A (ω m ))| m=1,2,⋯,M } to construct Equation 16 where M≥2N.
If it is shown that negative regulation of synthase operates and the pattern of this regulation is experimentally determined, then equation 3b can be modified by adding a term that quantifies the regulation, in the same way in which a term was added to equation 3a to construct equation 3b, which accounts for the removal of synthase by endocytosis.
The biodynamic model constructed (Equations 1-4) wasolveded with ModelMaker 3.0.3.
The method for numerical solution of the constructed equations is described.
The technique of numerical solution of the constructed equations is elaborated based on the method of the transfer matrix.
Initial-guess values of the mode-correction factors are used to decouple the coupled constructed equations, and an iterative technique for solving these equations is proposed.
The algorithms for constructing equations for isotopomers are described elsewhere [ 11, 12].
First, we will use generalized estimating equations to construct prediction equations for child length-for-age z score (LAZ) at 18 months.
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